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Finding the Fourth Proportional to 536.44, 805.34 and 463.78

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Solution

The fourth proportional to 536.44, 805.34 and 463.78 is: 696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.44 : 805.34 = 463.78 : x
  2. Step 2: Convert to fraction form
    536.44/805.34 = 463.78/x
  3. Step 3: Cross multiply
    536.44x = 805.34 × 463.78
  4. Step 4: Simplify right side
    536.44x = 373,496.25
  5. Step 5: Solve for x
    x = 373,496.25/536.44
  6. Step 6: Final answer
    x = 696.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.